Question

2sin50degree sec 40 degree

Answer 1

Answer:

Step-by-step explanation:

2

Answer 2

Answer:

2

Step-by-step explanation:

While one method is to simply use the calculator (If you are an ISC student), we can also solve it the conventional way.

First convert the sec40 to cos 50, this can be done as:

2 sin50 sec40 ⇒ 2 sin50 / cos 40

Now, using the property of complimentary angles, we know that sin(90 - θ) = cos θ

Thus sin50 ⇒ sin(90 - 40) ⇒ cos 40

Thus the new equation becomes

2 cos 40/ cos 40

Cos 40 and Cos 40 get cancelled, leaving the answer as 2.